12958795584 has 336 divisors, whose sum is σ = 45755112960. Its totient is φ = 3582351360.

The previous prime is 12958795579. The next prime is 12958795589. The reversal of 12958795584 is 48559785921.

12958795584 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 8 + 79 + 558 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12958795579) and next prime (12958795589).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958795589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2622364 + ... + 2627300.

Almost surely, 2^12958795584 is an apocalyptic number.

12958795584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12958795584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877556480).

12958795584 is an abundant number, since it is smaller than the sum of its proper divisors (32796317376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12958795584 is a wasteful number, since it uses less digits than its factorization.

12958795584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4980 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 63.

The spelling of 12958795584 in words is "twelve billion, nine hundred fifty-eight million, seven hundred ninety-five thousand, five hundred eighty-four".